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How can you use the prime factorization of two numbers to determine whether they are relative prime?
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How can you use the prime factorization of two numbers to determine whether they are relatively prime?
Use the prime factorizations to determine the GCF. If the GCF is 1, the numbers are relatively prime. If the two numbers have no prime factors in common, they are relatively prime.
How can you use prime factorization to determine whether two numbers are relatively prime?
If the prime factorizations contain no factors in common (their GCF is 1), the numbers are relatively prime.
What are coprimes?
Coprimes, or relative primes, are two or more numbers that share no common divisors. To determine whether numbers are relatively prime, find their greatest common denominaotr. If it's one, they're coprime.
How can you use the prime factorization of a number to determine whether the number is even or odd?
If the factorization includes the number 2, it's even. If not, it's odd.
How can you use prime factorization of two numbers to determine whether they are relatively prime?
let's have two numbers a and b and a set of primes (pi) Suppose a = pa pa+1pa+2... and b = pb pb+1 pb+2... If at least one pi in both factorization is in common then the two numbers are not coprime (relatively prime), if none is in common then they are coprime
How can you determine from the prime factorization whether the least common multiple of two numbers is the product of the numbers?
If the prime factorizations have no factors in common, the LCM is the product of them.
How can you use the prime factorization of two numbers to determine whether they are relatively prime?
Use the prime factorizations to determine the GCF. If the GCF is 1, the numbers are relatively prime. If the two numbers have no prime factors in common, they are relatively prime.
How can you use prime factorization to determine whether two numbers are relatively prime?
If the prime factorizations contain no factors in common (their GCF is 1), the numbers are relatively prime.
How do you determine Prime Factorization of 35?
By trying out whether you can divide it by different numbers. For one- or two-digit numbers, it is enough to test divisibility by 2, 3, 5, 7.
How can you use the prime factorization to determine whether 35 is a factor of the number?
If the prime factorization contains a 5 and a 7, 35 is a factor.
How can you determine from the prime factorization whether the least common multiple of two numbers is the product of the number?
If the two numbers have no common prime factors, the LCM will be the product of the numbers.
What are coprimes?
Coprimes, or relative primes, are two or more numbers that share no common divisors. To determine whether numbers are relatively prime, find their greatest common denominaotr. If it's one, they're coprime.
How can you use the prime factorization of a number to determine whether the number is even or odd?
If the factorization includes the number 2, it's even. If not, it's odd.
How can you use prime factorization of two numbers to determine whether they are relatively prime?
let's have two numbers a and b and a set of primes (pi) Suppose a = pa pa+1pa+2... and b = pb pb+1 pb+2... If at least one pi in both factorization is in common then the two numbers are not coprime (relatively prime), if none is in common then they are coprime
How can you use the prime factorization of a number to determine whether the number is even or add?
Very easily: if the prime factorization includes 2, it's even. If not, it's odd.
You can determine by the discriminant whether the solutions to the equation are real or numbers?
imaginary
How can you determine if whether the LCM of 2 numbers is the product of the numbers?
If they have no common factors other than 1.
